Palindromic widths of nilpotent and wreath products

dc.contributor.authorGongopadhyay, Krishnendu
dc.date.accessioned2020-12-04T09:01:17Z
dc.date.available2020-12-04T09:01:17Z
dc.date.issued2017
dc.descriptionOnly IISERM authors are available in the record.
dc.description.abstractWe prove that the nilpotent product of a set of groups A 1,…,A s has finite palindromic width if and only if the palindromic widths of A i ,i=1,…,s,are finite. We give a new proof that the commutator width of F n ≀K is infinite, where F n is a free group of rank n≥2 and K is a finite group. This result, combining with a result of Fink [9] gives examples of groups with infinite commutator width but finite palindromic width with respect to some generating set.en_US
dc.identifier.citationProceedings of the Indian Academy of Sciences: Mathematical Sciences, 127(1), pp. 99-108.en_US
dc.identifier.other10.1007/s12044-016-0296-1
dc.identifier.urihttps://link.springer.com/article/10.1007/s12044-016-0296-1
dc.identifier.urihttp://hdl.handle.net/123456789/2685
dc.language.isoenen_US
dc.publisherSpringer Linken_US
dc.subjectNilpotenten_US
dc.subjectPalindromicen_US
dc.subjectProducten_US
dc.titlePalindromic widths of nilpotent and wreath productsen_US
dc.typeArticleen_US

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